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The static Debye-Waller factor of defect-induced lattice displacements

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Zeitschrift für Physik B Condensed Matter

Abstract

The attenuation of Bragg scattering intensities due to static displacements is discussed for interstitially dissolved point-defects. It is shown that in the single defect approximation the static Debye-Waller factor (DWF) exp (−2L) decreases linearly with the defect concentrationc and quadratically with the scattering-vectorK (for smallK andc). From a model calculation of the displacements around H in Nb the static DWF is shown to be primarily due to the displacements closest to the impurity. Therefore the measurement of the static DWF can be used as a method to determine these displacements. From X-ray measurements of the integrated Bragg intensities of NbH x single crystals we obtained the displacements of the four nearest neighbours around a tetrahedral interstitial site to beu 1=0.1Å. This is in good agreement with the results of our model calculation.

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Metzger, H., Behr, H. & Peisl, J. The static Debye-Waller factor of defect-induced lattice displacements. Z. Physik B - Condensed Matter 46, 295–299 (1982). https://doi.org/10.1007/BF01307703

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  • DOI: https://doi.org/10.1007/BF01307703

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